{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moving averages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read dataset\n",
    "data = pd.read_csv('beer_production.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(15,6))\n",
    "# Plot original sales data\n",
    "plt.plot(data, label=\"Production-Original\")\n",
    "# Rotate xlabels\n",
    "plt.xticks(rotation=60)\n",
    "# Add legends\n",
    "plt.legend()\n",
    "#display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Moving average with window 3\n",
    "data['3MA']=data['data'].rolling(window=3).mean()\n",
    "# Moving average with window 5\n",
    "data['5MA']=data['data'].rolling(window=5).mean()\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(15,6))\n",
    "# Plot original sales data\n",
    "plt.plot(data.index, data['data'], label=\"Production-Original\", color=\"orange\")\n",
    "# Plot 3-Moving Average of sales data\n",
    "plt.plot(data.index, data['3MA'], label=\"3-Moving Average(3MA)\", color=\"green\")\n",
    "# Plot 5-Moving Average of sales data\n",
    "plt.plot(data.index, data['5MA'], label=\"5-Moving Average(5MA)\", color=\"red\")\n",
    "# Rotate xlabels\n",
    "plt.xticks(rotation=60)\n",
    "# Add legends\n",
    "plt.legend()\n",
    "#display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Window Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Sales</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Time</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>01/01/17</th>\n",
       "      <td>271.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/02/17</th>\n",
       "      <td>151.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/03/17</th>\n",
       "      <td>188.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/04/17</th>\n",
       "      <td>124.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01/05/17</th>\n",
       "      <td>185.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Sales\n",
       "Time           \n",
       "01/01/17  271.5\n",
       "01/02/17  151.4\n",
       "01/03/17  188.6\n",
       "01/04/17  124.8\n",
       "01/05/17  185.8"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read dataset\n",
    "sales_data = pd.read_csv('sales.csv', index_col =\"Time\")\n",
    "\n",
    "# Show initial 5 records\n",
    "sales_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f309f6205f8>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply all the windows on given DataFrame \n",
    "sales_data['boxcar']=sales_data.Sales.rolling(3, win_type ='boxcar').mean()\n",
    "sales_data['triang']=sales_data.Sales.rolling(3, win_type ='triang').mean()\n",
    "sales_data['hamming']=sales_data.Sales.rolling(3, win_type ='hamming').mean()\n",
    "sales_data['blackman']=sales_data.Sales.rolling(3, win_type ='blackman').mean()\n",
    "#Plot the rolling mean of all the windows\n",
    "sales_data.plot(kind='line',figsize=(10,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining cointegration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read dataset\n",
    "sales_data = pd.read_csv('sales.csv', index_col =\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "\n",
    "def check_stationary(Series):\n",
    "    result = adfuller(Series)\n",
    "    if result[1] >=0.05:\n",
    "        return \"non-stationary\"\n",
    "    else:\n",
    "        return \"stationary\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'non-stationary'"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "# Read the dataset\n",
    "data = pd.read_csv('beer_production.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "check_stationary(data.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "https://www.kaggle.com/shenba/time-series-datasets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decomposing time series"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "# Read the dataset\n",
    "data = pd.read_csv('beer_production.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change dtatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "# Decompose the data\n",
    "decomposed_data = seasonal_decompose(data, model='multiplicative')\n",
    "# Plot decomposed data\n",
    "decomposed_data.plot()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autocorrelation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Read dataset\n",
    "data = pd.read_csv('sales.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "# Calculate autocorrelation using numpy\n",
    "dy = data.data - np.mean(data.data)\n",
    "dy_square = np.sum(dy ** 2)\n",
    "\n",
    "# Cross-correlation\n",
    "sun_correlated = np.correlate(dy, dy, mode='full')/dy_square\n",
    "result = sun_correlated[int(len(sun_correlated)/2):]\n",
    "\n",
    "# Diplay the Chart\n",
    "plt.plot(result)\n",
    "# Display grid\n",
    "plt.grid(True)\n",
    "# Add labels\n",
    "plt.xlabel(\"Lag\")\n",
    "plt.ylabel(\"Autocorrelation\")\n",
    "# Display the chart\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f3093ee6470>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pandas.plotting import autocorrelation_plot\n",
    "# Plot using pandas function\n",
    "autocorrelation_plot(data.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Auto Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Lags: 9\n",
      "Model Coefficients:\n",
      " const      3.387614\n",
      "L1.data   -0.219978\n",
      "L2.data    0.261886\n",
      "L3.data    0.229315\n",
      "L4.data    0.758578\n",
      "L5.data    0.377529\n",
      "L6.data    0.133204\n",
      "L7.data   -0.045283\n",
      "L8.data   -0.227360\n",
      "L9.data   -0.181756\n",
      "dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n"
     ]
    }
   ],
   "source": [
    "# import needful libraries\n",
    "from statsmodels.tsa.ar_model import AR\n",
    "from pandas import datetime\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from math import sqrt\n",
    "\n",
    "# Read dataset\n",
    "data = pd.read_csv('sales.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "\n",
    "# Split data into train and test set \n",
    "train_ratio=0.8\n",
    "train=data[:int(train_ratio*len(data))]\n",
    "test=data[int(train_ratio*len(data)):]\n",
    "\n",
    "\n",
    "# AutoRegression Model training \n",
    "ar_model = AR(train.data)\n",
    "ar_model = ar_model.fit()\n",
    "\n",
    "# print lags and \n",
    "print(\"Number of Lags:\", ar_model.k_ar)\n",
    "print(\"Model Coefficients:\\n\", ar_model.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 98.21009368034078\n",
      "MSE: 15223.346320348737\n",
      "EMSE: 123.38292556244862\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n"
     ]
    }
   ],
   "source": [
    "# make predictions\n",
    "start_point = len(train)\n",
    "end_point = start_point + len(test)-1\n",
    "pred = ar_model.predict(start=start_point, end=end_point, dynamic=False)\n",
    "pred.index=test.index\n",
    "\n",
    "# Calculate erros\n",
    "mae = mean_absolute_error(test.data, pred)\n",
    "mse = mean_squared_error(test.data, pred)\n",
    "rmse = sqrt(mse)\n",
    "print(\"MAE:\",mae)\n",
    "print(\"MSE:\",mse)\n",
    "print(\"EMSE:\",rmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "date\n",
       "2019-01-05    378.410496\n",
       "2019-01-06    462.213022\n",
       "2019-01-07    406.175110\n",
       "2019-01-08    496.227598\n",
       "2019-01-09    442.491750\n",
       "2019-01-10    503.204950\n",
       "2019-01-11    481.128025\n",
       "2019-01-12    545.459441\n",
       "dtype: float64"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot test data\n",
    "plt.plot(test, label='Original-Series')\n",
    "# Plot predictions\n",
    "plt.plot(pred, color='red', label='Predicted Series')\n",
    "# Add legends\n",
    "plt.legend()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARMA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n",
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:488: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n",
      "  'available', HessianInversionWarning)\n",
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 133.78447199223865\n",
      "MSE: 29491.404499639117\n",
      "EMSE: 171.7306160812309\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.tsa.arima_model import ARMA\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "from math import sqrt\n",
    "\n",
    "# Read dataset\n",
    "data = pd.read_csv('sales.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "# Split data into train and test set \n",
    "train_ratio=0.8\n",
    "train=data[:int(train_ratio*len(data))]\n",
    "test=data[int(train_ratio*len(data)):]\n",
    "\n",
    "# AutoRegression Model training \n",
    "arma_model = ARMA(train, order=(7,0))\n",
    "arma_model = arma_model.fit()\n",
    "\n",
    "# make predictions\n",
    "start_point = len(train)\n",
    "end_point = start_point + len(test)-1\n",
    "pred = arma_model.predict(start_point,end_point)\n",
    "pred.index=test.index\n",
    "\n",
    "# Calculate erros\n",
    "mae = mean_absolute_error(test.data, pred)\n",
    "mse = mean_squared_error(test.data, pred)\n",
    "rmse = sqrt(mse)\n",
    "print(\"MAE:\",mae)\n",
    "print(\"MSE:\",mse)\n",
    "print(\"EMSE:\",rmse)\n",
    "\n",
    "\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot test data\n",
    "plt.plot(test, label='Original-Series')\n",
    "# Plot predictions\n",
    "plt.plot(pred, color='red', label='Predicted Series')\n",
    "# Add legends\n",
    "plt.legend()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ARIMA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:225: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  ' ignored when e.g. forecasting.', ValueWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE: 143.38220922099185\n",
      "MSE: 33404.820892163225\n",
      "EMSE: 182.7698577232122\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/base/model.py:488: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n",
      "  'available', HessianInversionWarning)\n",
      "/home/avinash/anaconda3/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:531: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  ValueWarning)\n"
     ]
    },
    {
     "ename": "ValueError",
     "evalue": "view limit minimum -36824.15 is less than 1 and is an invalid Matplotlib date value. This often happens if you pass a non-datetime value to an axis that has datetime units",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-67-0e95a3e846b4>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     45\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlegend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     46\u001b[0m \u001b[0;31m# Display the plot\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 47\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mshow\u001b[0;34m(*args, **kw)\u001b[0m\n\u001b[1;32m    252\u001b[0m     \"\"\"\n\u001b[1;32m    253\u001b[0m     \u001b[0;32mglobal\u001b[0m \u001b[0m_show\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 254\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0m_show\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkw\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    255\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    256\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/ipykernel/pylab/backend_inline.py\u001b[0m in \u001b[0;36mshow\u001b[0;34m(close, block)\u001b[0m\n\u001b[1;32m     37\u001b[0m             display(\n\u001b[1;32m     38\u001b[0m                 \u001b[0mfigure_manager\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcanvas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 39\u001b[0;31m                 \u001b[0mmetadata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0m_fetch_figure_metadata\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigure_manager\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcanvas\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     40\u001b[0m             )\n\u001b[1;32m     41\u001b[0m     \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/ipykernel/pylab/backend_inline.py\u001b[0m in \u001b[0;36m_fetch_figure_metadata\u001b[0;34m(fig)\u001b[0m\n\u001b[1;32m    175\u001b[0m         \u001b[0;31m# the background is transparent\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    176\u001b[0m         ticksLight = _is_light([label.get_color()\n\u001b[0;32m--> 177\u001b[0;31m                                 \u001b[0;32mfor\u001b[0m \u001b[0maxes\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxes\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    178\u001b[0m                                 \u001b[0;32mfor\u001b[0m \u001b[0maxis\u001b[0m \u001b[0;32min\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0maxes\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxaxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxes\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0myaxis\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    179\u001b[0m                                 for label in axis.get_ticklabels()])\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/ipykernel/pylab/backend_inline.py\u001b[0m in \u001b[0;36m<listcomp>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m    177\u001b[0m                                 \u001b[0;32mfor\u001b[0m \u001b[0maxes\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxes\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    178\u001b[0m                                 \u001b[0;32mfor\u001b[0m \u001b[0maxis\u001b[0m \u001b[0;32min\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0maxes\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxaxis\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxes\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0myaxis\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 179\u001b[0;31m                                 for label in axis.get_ticklabels()])\n\u001b[0m\u001b[1;32m    180\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mticksLight\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msize\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mticksLight\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mticksLight\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    181\u001b[0m             \u001b[0;31m# there are one or more tick labels, all with the same lightness\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36mget_ticklabels\u001b[0;34m(self, minor, which)\u001b[0m\n\u001b[1;32m   1284\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mminor\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1285\u001b[0m             \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_minorticklabels\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1286\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_majorticklabels\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1287\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1288\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mget_majorticklines\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36mget_majorticklabels\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m   1238\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mget_majorticklabels\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1239\u001b[0m         \u001b[0;34m'Return a list of Text instances for the major ticklabels'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1240\u001b[0;31m         \u001b[0mticks\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_major_ticks\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1241\u001b[0m         \u001b[0mlabels1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mtick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabel1\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mtick\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mticks\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mtick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabel1On\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1242\u001b[0m         \u001b[0mlabels2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mtick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabel2\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mtick\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mticks\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mtick\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlabel2On\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/axis.py\u001b[0m in \u001b[0;36mget_major_ticks\u001b[0;34m(self, numticks)\u001b[0m\n\u001b[1;32m   1389\u001b[0m         \u001b[0;34m'get the tick instances; grow as necessary'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1390\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mnumticks\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1391\u001b[0;31m             \u001b[0mnumticks\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_major_locator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1392\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1393\u001b[0m         \u001b[0;32mwhile\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmajorTicks\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0mnumticks\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/dates.py\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m   1227\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m__call__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1228\u001b[0m         \u001b[0;34m'Return the locations of the ticks'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1229\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrefresh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1230\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_locator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1231\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/dates.py\u001b[0m in \u001b[0;36mrefresh\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m   1247\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mrefresh\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1248\u001b[0m         \u001b[0;34m'Refresh internal information based on current limits.'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1249\u001b[0;31m         \u001b[0mdmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdmax\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mviewlim_to_dt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1250\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_locator\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_locator\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdmax\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1251\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.7/site-packages/matplotlib/dates.py\u001b[0m in \u001b[0;36mviewlim_to_dt\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m    998\u001b[0m                              \u001b[0;34m'often happens if you pass a non-datetime '\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    999\u001b[0m                              \u001b[0;34m'value to an axis that has datetime units'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1000\u001b[0;31m                              .format(vmin))\n\u001b[0m\u001b[1;32m   1001\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mnum2date\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtz\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnum2date\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvmax\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtz\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1002\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: view limit minimum -36824.15 is less than 1 and is an invalid Matplotlib date value. This often happens if you pass a non-datetime value to an axis that has datetime units"
     ]
    }
   ],
   "source": [
    "# import needful libraries\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "from math import sqrt\n",
    "\n",
    "# Read dataset\n",
    "data = pd.read_csv('sales.csv')\n",
    "data.columns= ['date','data']\n",
    "# Change datatype to pandas datetime\n",
    "data['date'] = pd.to_datetime(data['date'])\n",
    "data=data.set_index('date')\n",
    "\n",
    "# Split data into train and test set \n",
    "train_ratio=0.8\n",
    "train=data[:int(train_ratio*len(data))]\n",
    "test=data[int(train_ratio*len(data)):]\n",
    "\n",
    "# AutoRegression Model training \n",
    "arima_model = ARIMA(train, order=(5,0,0))\n",
    "arima_model = arima_model.fit()\n",
    "\n",
    "# make predictions\n",
    "start_point = len(train)\n",
    "end_point = start_point + len(test)-1\n",
    "pred = arima_model.predict(start_point,end_point)\n",
    "\n",
    "# Calculate erros\n",
    "mae = mean_absolute_error(test.data, pred)\n",
    "mse = mean_squared_error(test.data, pred)\n",
    "rmse = sqrt(mse)\n",
    "print(\"MAE:\",mae)\n",
    "print(\"MSE:\",mse)\n",
    "print(\"EMSE:\",rmse)\n",
    "\n",
    "# Setting figure size\n",
    "plt.figure(figsize=(10,6))\n",
    "# Plot test data\n",
    "plt.plot(test.data, label='Original-Series')\n",
    "# Plot predictions\n",
    "plt.plot(pred, color='red', label='Predicted Series')\n",
    "# Add legends\n",
    "plt.legend()\n",
    "# Display the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating Periodic Signals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Params [ 47.1880006   28.89947462   0.56827279   6.51178464   4.55214564\n",
      "   0.29372076 -14.30924768 -18.16524123   0.06574835  -4.37789476]\n",
      "Root mean square error 59.56205597915569\n",
      "Mean absolute error 44.58158470150657\n",
      "Mean absolute percentage error 65.16458348768887\n",
      "Symmetric Mean absolute percentage error 78.4480696873044\n",
      "Coefficient of determination -0.3635315489903188\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import leastsq\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "def model(p, t):\n",
    "   C, p1, f1, phi1 , p2, f2, phi2, p3, f3, phi3 = p\n",
    "   return C + p1 * np.sin(f1 * t + phi1) + p2 * np.sin(f2 * t + \n",
    "phi2) +p3 * np.sin(f3 * t + phi3)\n",
    " \n",
    "def error(p, y, t):\n",
    "   return y - model(p, t)\n",
    " \n",
    "def fit(y, t):\n",
    "   p0 = [y.mean(), 0, 2 * np.pi/11, 0, 0, 2 * np.pi/22, 0, 0, 2 * \n",
    "np.pi/100, 0]\n",
    "   params = leastsq(error, p0, args=(y, t))[0]\n",
    "   return params\n",
    " \n",
    "data_loader = sm.datasets.sunspots.load_pandas()\n",
    "sunspots = data_loader.data[\"SUNACTIVITY\"].values\n",
    "years = data_loader.data[\"YEAR\"].values\n",
    " \n",
    "cutoff = int(.9 * len(sunspots))\n",
    "params = fit(sunspots[:cutoff], years[:cutoff])\n",
    "print(\"Params\", params)\n",
    " \n",
    "pred = model(params, years[cutoff:])\n",
    "actual = sunspots[cutoff:]\n",
    "print(\"Root mean square error\", np.sqrt(np.mean((actual - pred) ** \n",
    "2)))\n",
    "print(\"Mean absolute error\", np.mean(np.abs(actual - pred)))\n",
    "print(\"Mean absolute percentage error\", 100 * \n",
    "np.mean(np.abs(actual - pred)/actual))\n",
    "mid = (actual + pred)/2\n",
    "print(\"Symmetric Mean absolute percentage error\", 100 * \n",
    "np.mean(np.abs(actual - pred)/mid))\n",
    "print(\"Coefficient of determination\", 1 - ((actual - pred) ** \n",
    "2).sum()/ ((actual - actual.mean()) ** 2).sum())\n",
    "year_range = data_loader.data[\"YEAR\"].values[cutoff:]\n",
    "plt.plot(year_range, actual, 'o', label=\"Sunspots\")\n",
    "plt.plot(year_range, pred, 'x', label=\"Prediction\")\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"YEAR\")\n",
    "plt.ylabel(\"SUNACTIVITY\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fourier Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import rfft\n",
    "from scipy.fftpack import fftshift\n",
    " \n",
    "data_loader = sm.datasets.sunspots.load_pandas()\n",
    "sunspots = data_loader.data[\"SUNACTIVITY\"].values\n",
    " \n",
    "t = np.linspace(-2 * np.pi, 2 * np.pi, len(sunspots))\n",
    "mid = np.ptp(sunspots)/2\n",
    "sine = mid + mid * np.sin(np.sin(t))\n",
    " \n",
    "sine_fft = np.abs(fftshift(rfft(sine)))\n",
    "print(\"Index of max sine FFT\", np.argsort(sine_fft)[-5:])\n",
    " \n",
    "transformed = np.abs(fftshift(rfft(sunspots)))\n",
    "print(\"Indices of max sunspots FFT\", np.argsort(transformed)[-5:])\n",
    " \n",
    "plt.subplot(311)\n",
    "plt.plot(sunspots, label=\"Sunspots\")\n",
    "plt.plot(sine, lw=2, label=\"Sine\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.subplot(312)\n",
    "plt.plot(transformed, label=\"Transformed Sunspots\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.subplot(313)\n",
    "plt.plot(sine_fft, lw=2, label=\"Transformed Sine\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spectral Analysis Filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import rfft\n",
    "from scipy.fftpack import fftshift\n",
    " \n",
    "data_loader = sm.datasets.sunspots.load_pandas()\n",
    "sunspots = data_loader.data[\"SUNACTIVITY\"].values\n",
    " \n",
    "transformed = fftshift(rfft(sunspots))\n",
    " \n",
    "plt.subplot(311)\n",
    "plt.plot(sunspots, label=\"Sunspots\")\n",
    "plt.legend()\n",
    "plt.subplot(312)\n",
    "plt.plot(transformed ** 2, label=\"Power Spectrum\")\n",
    "plt.legend()\n",
    "plt.subplot(313)\n",
    "plt.plot(np.angle(transformed), label=\"Phase Spectrum\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
